In an astronomical telescope, the focal lengths of the objective and the eye piece are 100cm and 5cm respectively. If the telescope is focussed on a scale 2m from the objective, the final image is formed at 25cm from the eye. Calculate (i) the magnification and (ii) the distance between the objective and the eyepiece

Explanation

To solve the problem step by step, we will follow the necessary calculations for both the magnification of the telescope and the distance between the objective and the eyepiece.

### Given Data:
- Focal length of the objective lens, \( f_o = 100 \, \text{cm} \)
- Focal length of the eyepiece lens, \( f_e = 5 \, \text{cm} \)
- Object distance from the objective lens, \( u_o = -200 \, \text{cm} \) (negative as per sign convention)
- Final image distance from the eyepiece, \( v_e = -25 \, \text{cm} \) (negative as per sign convention)

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